00:01
So in this first problem, we're given the graph of f of x on the left hand side.
00:04
What we're being asked to do is the graph g of x, which is going to be f of x minus 2, and describe the transformation.
00:10
Well, keep in mind, f of x minus 2.
00:13
Because it happens inside your function, that's going to represent a horizontal shift to the left or to the right.
00:18
So the question is, how do we know? well, if i substitute in 2 for x, then i'd have 2 minus 2, which is 0, which brings us back to our original function.
00:26
So this tells us that this graph is going to go right two units.
00:32
So we're going to go right two units.
00:35
And i'm not sure why that's not right in here.
00:37
So i'm going to write it over here.
00:38
So we're going to go right two.
00:39
So that's how you would describe the transformations.
00:42
So in this case, we have a vertical line when x is equal to two, which means for our g of x graph, we're still going to have a vertical line, except it's going to happen when x is equal to four.
00:51
So now we have a g of x function.
00:54
And i should have put right two.
00:56
All right, so now our second question is very similar.
00:59
We're given the graph of f of x.
01:01
We want a graph g of x, which is f of x plus one, and describe the transformations.
01:06
Well, remember, if x was negative 1, this would be 0, which would bring us back to our original...